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Finding the Third Proportional to 95,863.50 and 170,768.25

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Solution

The third proportional to 95,863.50 and 170,768.25 is: 304,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,863.50 : 170,768.25 = 170,768.25 : x
  2. Step 2: Convert to fraction form
    95,863.50/170,768.25 = 170,768.25/x
  3. Step 3: Cross multiply
    95,863.50x = 170,768.25 × 170,768.25
  4. Step 4: Simplify right side
    95,863.50x = 29,161,795,208.06
  5. Step 5: Solve for x
    x = 29,161,795,208.06/95,863.50
  6. Step 6: Final answer
    x = 304,201.24

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.